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#### DreamWeaver

##### Well-known member

- Sep 16, 2013

- 337

For \(\displaystyle z \in \mathbb{R}\), and \(\displaystyle m \in 2\mathbb{N}+1\), show that:

\(\displaystyle \frac{\tan mz}{\tan z}=\prod_{j=1}^{ \lfloor m/2 \rfloor } \tan\left(\frac{j\pi}{m}+z\right) \tan\left(\frac{j\pi}{m}-z\right) \)